RoseCode

Problem #281

Awesome algorithm
 Public ★(x11) 11/28/15 by Philippe_57721 7xp Math 55.0%

Given a vector $A$ of rational numbers, we define the following transformation :
$B = \{ 1\times (A_1-A_2), 2\times (A_2-A_3), 3\times (A_3-A_4), \dots \}$

We repeat the process:
$C = \{ 1\times (B_1-B_2), 2\times (B_2-B_3), 3\times (B_3-B_4), \dots \}$

And so on ...

Consider now the vector
$Z = \{ B_1, C_1, D_1, \dots \}$

If $A = \{ \frac{1}{1}, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \dots \} \textrm{ find the first index such as the denominator of } Z_i \textrm{ is } \gt 10^{50}$
[My timing: < 1 sec]

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